The generator matrix 1 0 1 1 1 X 1 1 0 1 1 X 1 1 1 1 0 X 1 1 1 1 0 X 1 1 1 1 0 X X X 0 1 1 1 1 0 X X X 0 1 X 0 X 1 0 1 X+1 X 1 1 0 X+1 1 X 1 1 0 X+1 X 1 1 1 0 X X+1 1 1 1 0 X X+1 1 1 1 0 X X 0 X X+1 1 1 1 0 X X 0 X X 0 X+1 generates a code of length 47 over Z2[X]/(X^2) who´s minimum homogenous weight is 49. Homogenous weight enumerator: w(x)=1x^0+4x^49+6x^50+4x^51+1x^52 The gray image is a linear code over GF(2) with n=94, k=4 and d=49. As d=49 is an upper bound for linear (94,4,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 4. This code was found by Heurico 1.16 in 0.0168 seconds.